2420766810 has 320 divisors, whose sum is σ = 8342611200. Its totient is φ = 488954880.

The previous prime is 2420766787. The next prime is 2420766841. The reversal of 2420766810 is 186670242.

It is a super-2 number, since 2×2420766810² = 11720223896795152200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2307166 + ... + 2308214.

It is an arithmetic number, because the mean of its divisors is an integer number (26070660).

Almost surely, 2^2420766810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420766810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171305600).

2420766810 is an abundant number, since it is smaller than the sum of its proper divisors (5921844390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2420766810 is a wasteful number, since it uses less digits than its factorization.

2420766810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2420766810 is about 49201.2887026346. The cubic root of 2420766810 is about 1342.7164783084.

The spelling of 2420766810 in words is "two billion, four hundred twenty million, seven hundred sixty-six thousand, eight hundred ten".